with respect to the center of mass the speed of each particle is (Gm/4R)1/2 as their is no external force acting on the system so velocity of the center of mass is zero velocity of each particle is (Gm/4R)1/2.
mv2/R=Gm2/(2R)2
The gravitational force of attraction between the two masses is
F = Gm2/(2R)2
This force provides the necessary centripetal force
mv2/R = Gm2/4R2
v2 = Gm/4R
v = √(Gm/4R)
The Speed will be equal to their velocities in inertial frame itself as there centre of mass will be stationary.
Three identical balls are placed on a frictionless
horizontal surface touching each other. They stick to
each other because of adhesive. Another ball of same
radius and mass m is placed over the void created by
the three balls. Find the forces applied by the balls
kept on the floor to each other if the system remains
in equilibrium.
Last Activity: 9 Months ago
A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.
11
21
31
41
Last Activity: 9 Months ago
Last Activity: 3 Years ago
Last Activity: 3 Years ago
